What is the Least Common Multiple of 79440 and 79450?

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 79450 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 79450, than apply into the LCM equation.

GCF(79440,79450) = 10
LCM(79440,79450) = ( 79440 × 79450) / 10
LCM(79440,79450) = 6311508000 / 10
LCM(79440,79450) = 631150800

Least Common Multiple (LCM) of 79440 and 79450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79440 and 79450. First we will calculate the prime factors of 79440 and 79450.

Prime Factorization of 79440

Prime Factorization of 79450

Now multiplying the highest exponent prime factors to calculate the LCM of 79440 and 79450.

LCM(79440,79450) = 2⁴ × 3¹ × 5² × 331¹ × 7¹ × 227¹
LCM(79440,79450) = 631150800