What is the Least Common Multiple of 94674 and 94683?

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 of 94674 and 94683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94674 and 94683, than apply into the LCM equation.

GCF(94674,94683) = 3
LCM(94674,94683) = ( 94674 × 94683) / 3
LCM(94674,94683) = 8964018342 / 3
LCM(94674,94683) = 2988006114

Least Common Multiple (LCM) of 94674 and 94683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94674 and 94683. First we will calculate the prime factors of 94674 and 94683.

Prime Factorization of 94674

Prime Factorization of 94683

Now multiplying the highest exponent prime factors to calculate the LCM of 94674 and 94683.

LCM(94674,94683) = 2¹ × 3¹ × 31¹ × 509¹ × 37¹ × 853¹
LCM(94674,94683) = 2988006114