What is the Least Common Multiple of 79464 and 79469?

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 79464 and 79469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79464 and 79469, than apply into the LCM equation.

GCF(79464,79469) = 1
LCM(79464,79469) = ( 79464 × 79469) / 1
LCM(79464,79469) = 6314924616 / 1
LCM(79464,79469) = 6314924616

Least Common Multiple (LCM) of 79464 and 79469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79464 and 79469. First we will calculate the prime factors of 79464 and 79469.

Prime Factorization of 79464

Prime Factorization of 79469

Now multiplying the highest exponent prime factors to calculate the LCM of 79464 and 79469.

LCM(79464,79469) = 2³ × 3¹ × 7¹ × 11¹ × 43¹ × 13¹ × 6113¹
LCM(79464,79469) = 6314924616