GCF and LCM Calculator Logo

What is the Least Common Multiple of 94719 and 94739?

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 94719 and 94739 is 8973583341.

LCM(94719,94739) = 8973583341

LCM Calculator and
and

Least Common Multiple of 94719 and 94739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94719 and 94739, than apply into the LCM equation.

GCF(94719,94739) = 1
LCM(94719,94739) = ( 94719 × 94739) / 1
LCM(94719,94739) = 8973583341 / 1
LCM(94719,94739) = 8973583341

Least Common Multiple (LCM) of 94719 and 94739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94719 and 94739. First we will calculate the prime factors of 94719 and 94739.

Prime Factorization of 94719

Prime factors of 94719 are 3, 31573. Prime factorization of 94719 in exponential form is:

94719 = 31 × 315731

Prime Factorization of 94739

Prime factors of 94739 are 211, 449. Prime factorization of 94739 in exponential form is:

94739 = 2111 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 94719 and 94739.

LCM(94719,94739) = 31 × 315731 × 2111 × 4491
LCM(94719,94739) = 8973583341