What is the Least Common Multiple of 94123 and 94132?
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 94123 and 94132 is 8859986236.
LCM(94123,94132) = 8859986236
Least Common Multiple of 94123 and 94132 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94123 and 94132, than apply into the LCM equation.
GCF(94123,94132) = 1
LCM(94123,94132) = ( 94123 × 94132) / 1
LCM(94123,94132) = 8859986236 / 1
LCM(94123,94132) = 8859986236
Least Common Multiple (LCM) of 94123 and 94132 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94123 and 94132. First we will calculate the prime factors of 94123 and 94132.
Prime Factorization of 94123
Prime factors of 94123 are 61, 1543. Prime factorization of 94123 in exponential form is:
94123 = 611 × 15431
Prime Factorization of 94132
Prime factors of 94132 are 2, 101, 233. Prime factorization of 94132 in exponential form is:
94132 = 22 × 1011 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 94123 and 94132.
LCM(94123,94132) = 611 × 15431 × 22 × 1011 × 2331
LCM(94123,94132) = 8859986236
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