What is the Least Common Multiple of 76438 and 76446?

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 76438 and 76446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76438 and 76446, than apply into the LCM equation.

GCF(76438,76446) = 2
LCM(76438,76446) = ( 76438 × 76446) / 2
LCM(76438,76446) = 5843379348 / 2
LCM(76438,76446) = 2921689674

Least Common Multiple (LCM) of 76438 and 76446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76438 and 76446. First we will calculate the prime factors of 76438 and 76446.

Prime Factorization of 76438

Prime Factorization of 76446

Now multiplying the highest exponent prime factors to calculate the LCM of 76438 and 76446.

LCM(76438,76446) = 2¹ × 38219¹ × 3² × 31¹ × 137¹
LCM(76438,76446) = 2921689674