What is the Least Common Multiple of 76472 and 76478?

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 76472 and 76478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76472 and 76478, than apply into the LCM equation.

GCF(76472,76478) = 2
LCM(76472,76478) = ( 76472 × 76478) / 2
LCM(76472,76478) = 5848425616 / 2
LCM(76472,76478) = 2924212808

Least Common Multiple (LCM) of 76472 and 76478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76472 and 76478. First we will calculate the prime factors of 76472 and 76478.

Prime Factorization of 76472

Prime Factorization of 76478

Now multiplying the highest exponent prime factors to calculate the LCM of 76472 and 76478.

LCM(76472,76478) = 2³ × 11² × 79¹ × 38239¹
LCM(76472,76478) = 2924212808