What is the Least Common Multiple of 70464 and 70472?

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 70464 and 70472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70464 and 70472, than apply into the LCM equation.

GCF(70464,70472) = 8
LCM(70464,70472) = ( 70464 × 70472) / 8
LCM(70464,70472) = 4965739008 / 8
LCM(70464,70472) = 620717376

Least Common Multiple (LCM) of 70464 and 70472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70464 and 70472. First we will calculate the prime factors of 70464 and 70472.

Prime Factorization of 70464

Prime Factorization of 70472

Now multiplying the highest exponent prime factors to calculate the LCM of 70464 and 70472.

LCM(70464,70472) = 2⁶ × 3¹ × 367¹ × 23¹ × 383¹
LCM(70464,70472) = 620717376