What is the Least Common Multiple of 70710 and 70728?

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 70710 and 70728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70710 and 70728, than apply into the LCM equation.

GCF(70710,70728) = 6
LCM(70710,70728) = ( 70710 × 70728) / 6
LCM(70710,70728) = 5001176880 / 6
LCM(70710,70728) = 833529480

Least Common Multiple (LCM) of 70710 and 70728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70710 and 70728. First we will calculate the prime factors of 70710 and 70728.

Prime Factorization of 70710

Prime Factorization of 70728

Now multiplying the highest exponent prime factors to calculate the LCM of 70710 and 70728.

LCM(70710,70728) = 2³ × 3¹ × 5¹ × 2357¹ × 7¹ × 421¹
LCM(70710,70728) = 833529480