GCF and LCM Calculator Logo

What is the Least Common Multiple of 94537 and 94546?

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 94537 and 94546 is 8938095202.

LCM(94537,94546) = 8938095202

LCM Calculator and
and

Least Common Multiple of 94537 and 94546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94537 and 94546, than apply into the LCM equation.

GCF(94537,94546) = 1
LCM(94537,94546) = ( 94537 × 94546) / 1
LCM(94537,94546) = 8938095202 / 1
LCM(94537,94546) = 8938095202

Least Common Multiple (LCM) of 94537 and 94546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94537 and 94546. First we will calculate the prime factors of 94537 and 94546.

Prime Factorization of 94537

Prime factors of 94537 are 17, 67, 83. Prime factorization of 94537 in exponential form is:

94537 = 171 × 671 × 831

Prime Factorization of 94546

Prime factors of 94546 are 2, 41, 1153. Prime factorization of 94546 in exponential form is:

94546 = 21 × 411 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 94537 and 94546.

LCM(94537,94546) = 171 × 671 × 831 × 21 × 411 × 11531
LCM(94537,94546) = 8938095202