What is the Least Common Multiple of 131 and 140?
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 131 and 140 is 18340.
LCM(131,140) = 18340
Least Common Multiple of 131 and 140 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 140, than apply into the LCM equation.
GCF(131,140) = 1
LCM(131,140) = ( 131 × 140) / 1
LCM(131,140) = 18340 / 1
LCM(131,140) = 18340
Least Common Multiple (LCM) of 131 and 140 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 140. First we will calculate the prime factors of 131 and 140.
Prime Factorization of 131
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Prime Factorization of 140
Prime factors of 140 are 2, 5, 7. Prime factorization of 140 in exponential form is:
140 = 22 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 140.
LCM(131,140) = 1311 × 22 × 51 × 71
LCM(131,140) = 18340
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Related Least Common Multiples of 140
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