What is the Least Common Multiple of 70728 and 70746?

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 70728 and 70746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70728 and 70746, than apply into the LCM equation.

GCF(70728,70746) = 6
LCM(70728,70746) = ( 70728 × 70746) / 6
LCM(70728,70746) = 5003723088 / 6
LCM(70728,70746) = 833953848

Least Common Multiple (LCM) of 70728 and 70746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70728 and 70746. First we will calculate the prime factors of 70728 and 70746.

Prime Factorization of 70728

Prime Factorization of 70746

Now multiplying the highest exponent prime factors to calculate the LCM of 70728 and 70746.

LCM(70728,70746) = 2³ × 3¹ × 7¹ × 421¹ × 13¹ × 907¹
LCM(70728,70746) = 833953848