What is the Least Common Multiple of 142 and 148?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 142 and 148 is 10508.
LCM(142,148) = 10508
Least Common Multiple of 142 and 148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 148, than apply into the LCM equation.
GCF(142,148) = 2
LCM(142,148) = ( 142 × 148) / 2
LCM(142,148) = 21016 / 2
LCM(142,148) = 10508
Least Common Multiple (LCM) of 142 and 148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 148. First we will calculate the prime factors of 142 and 148.
Prime Factorization of 142
Prime factors of 142 are 2, 71. Prime factorization of 142 in exponential form is:
142 = 21 × 711
Prime Factorization of 148
Prime factors of 148 are 2, 37. Prime factorization of 148 in exponential form is:
148 = 22 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 142 and 148.
LCM(142,148) = 22 × 711 × 371
LCM(142,148) = 10508
Related Least Common Multiples of 142
- LCM of 142 and 146
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- LCM of 142 and 148
- LCM of 142 and 149
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Related Least Common Multiples of 148
- LCM of 148 and 152
- LCM of 148 and 153
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