What is the Least Common Multiple of 50678 and 50692?

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 50678 and 50692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50678 and 50692, than apply into the LCM equation.

GCF(50678,50692) = 2
LCM(50678,50692) = ( 50678 × 50692) / 2
LCM(50678,50692) = 2568969176 / 2
LCM(50678,50692) = 1284484588

Least Common Multiple (LCM) of 50678 and 50692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50678 and 50692. First we will calculate the prime factors of 50678 and 50692.

Prime Factorization of 50678

Prime Factorization of 50692

Now multiplying the highest exponent prime factors to calculate the LCM of 50678 and 50692.

LCM(50678,50692) = 2² × 25339¹ × 19¹ × 23¹ × 29¹
LCM(50678,50692) = 1284484588