What is the Least Common Multiple of 70720 and 70732?

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 70720 and 70732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70720 and 70732, than apply into the LCM equation.

GCF(70720,70732) = 4
LCM(70720,70732) = ( 70720 × 70732) / 4
LCM(70720,70732) = 5002167040 / 4
LCM(70720,70732) = 1250541760

Least Common Multiple (LCM) of 70720 and 70732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70720 and 70732. First we will calculate the prime factors of 70720 and 70732.

Prime Factorization of 70720

Prime Factorization of 70732

Now multiplying the highest exponent prime factors to calculate the LCM of 70720 and 70732.

LCM(70720,70732) = 2⁶ × 5¹ × 13¹ × 17¹ × 17683¹
LCM(70720,70732) = 1250541760