What is the Least Common Multiple of 67674 and 67692?

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 67674 and 67692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67674 and 67692, than apply into the LCM equation.

GCF(67674,67692) = 6
LCM(67674,67692) = ( 67674 × 67692) / 6
LCM(67674,67692) = 4580988408 / 6
LCM(67674,67692) = 763498068

Least Common Multiple (LCM) of 67674 and 67692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67674 and 67692. First we will calculate the prime factors of 67674 and 67692.

Prime Factorization of 67674

Prime Factorization of 67692

Now multiplying the highest exponent prime factors to calculate the LCM of 67674 and 67692.

LCM(67674,67692) = 2² × 3¹ × 11279¹ × 5641¹
LCM(67674,67692) = 763498068