What is the Least Common Multiple of 79440 and 79458?

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 79440 and 79458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79440 and 79458, than apply into the LCM equation.

GCF(79440,79458) = 6
LCM(79440,79458) = ( 79440 × 79458) / 6
LCM(79440,79458) = 6312143520 / 6
LCM(79440,79458) = 1052023920

Least Common Multiple (LCM) of 79440 and 79458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79440 and 79458. First we will calculate the prime factors of 79440 and 79458.

Prime Factorization of 79440

Prime Factorization of 79458

Now multiplying the highest exponent prime factors to calculate the LCM of 79440 and 79458.

LCM(79440,79458) = 2⁴ × 3¹ × 5¹ × 331¹ × 17¹ × 19¹ × 41¹
LCM(79440,79458) = 1052023920