What is the Least Common Multiple of 76425 and 76434?

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 76425 and 76434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76425 and 76434, than apply into the LCM equation.

GCF(76425,76434) = 3
LCM(76425,76434) = ( 76425 × 76434) / 3
LCM(76425,76434) = 5841468450 / 3
LCM(76425,76434) = 1947156150

Least Common Multiple (LCM) of 76425 and 76434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76425 and 76434. First we will calculate the prime factors of 76425 and 76434.

Prime Factorization of 76425

Prime Factorization of 76434

Now multiplying the highest exponent prime factors to calculate the LCM of 76425 and 76434.

LCM(76425,76434) = 3¹ × 5² × 1019¹ × 2¹ × 12739¹
LCM(76425,76434) = 1947156150