What is the Least Common Multiple of 70512 and 70530?

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 70512 and 70530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70512 and 70530, than apply into the LCM equation.

GCF(70512,70530) = 6
LCM(70512,70530) = ( 70512 × 70530) / 6
LCM(70512,70530) = 4973211360 / 6
LCM(70512,70530) = 828868560

Least Common Multiple (LCM) of 70512 and 70530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70512 and 70530. First we will calculate the prime factors of 70512 and 70530.

Prime Factorization of 70512

Prime Factorization of 70530

Now multiplying the highest exponent prime factors to calculate the LCM of 70512 and 70530.

LCM(70512,70530) = 2⁴ × 3¹ × 13¹ × 113¹ × 5¹ × 2351¹
LCM(70512,70530) = 828868560