What is the Least Common Multiple of 76446 and 76462?

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 76446 and 76462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76446 and 76462, than apply into the LCM equation.

GCF(76446,76462) = 2
LCM(76446,76462) = ( 76446 × 76462) / 2
LCM(76446,76462) = 5845214052 / 2
LCM(76446,76462) = 2922607026

Least Common Multiple (LCM) of 76446 and 76462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76446 and 76462. First we will calculate the prime factors of 76446 and 76462.

Prime Factorization of 76446

Prime Factorization of 76462

Now multiplying the highest exponent prime factors to calculate the LCM of 76446 and 76462.

LCM(76446,76462) = 2¹ × 3² × 31¹ × 137¹ × 38231¹
LCM(76446,76462) = 2922607026