What is the Least Common Multiple of 49674 and 49692?

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 49674 and 49692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49674 and 49692, than apply into the LCM equation.

GCF(49674,49692) = 6
LCM(49674,49692) = ( 49674 × 49692) / 6
LCM(49674,49692) = 2468400408 / 6
LCM(49674,49692) = 411400068

Least Common Multiple (LCM) of 49674 and 49692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49674 and 49692. First we will calculate the prime factors of 49674 and 49692.

Prime Factorization of 49674

Prime Factorization of 49692

Now multiplying the highest exponent prime factors to calculate the LCM of 49674 and 49692.

LCM(49674,49692) = 2² × 3¹ × 17¹ × 487¹ × 41¹ × 101¹
LCM(49674,49692) = 411400068