What is the Least Common Multiple of 72464 and 72475?

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 72464 and 72475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72464 and 72475, than apply into the LCM equation.

GCF(72464,72475) = 1
LCM(72464,72475) = ( 72464 × 72475) / 1
LCM(72464,72475) = 5251828400 / 1
LCM(72464,72475) = 5251828400

Least Common Multiple (LCM) of 72464 and 72475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72464 and 72475. First we will calculate the prime factors of 72464 and 72475.

Prime Factorization of 72464

Prime Factorization of 72475

Now multiplying the highest exponent prime factors to calculate the LCM of 72464 and 72475.

LCM(72464,72475) = 2⁴ × 7¹ × 647¹ × 5² × 13¹ × 223¹
LCM(72464,72475) = 5251828400