What is the Least Common Multiple of 70452 and 70464?

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 70452 and 70464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70452 and 70464, than apply into the LCM equation.

GCF(70452,70464) = 12
LCM(70452,70464) = ( 70452 × 70464) / 12
LCM(70452,70464) = 4964329728 / 12
LCM(70452,70464) = 413694144

Least Common Multiple (LCM) of 70452 and 70464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70452 and 70464. First we will calculate the prime factors of 70452 and 70464.

Prime Factorization of 70452

Prime Factorization of 70464

Now multiplying the highest exponent prime factors to calculate the LCM of 70452 and 70464.

LCM(70452,70464) = 2⁶ × 3² × 19¹ × 103¹ × 367¹
LCM(70452,70464) = 413694144