What is the Least Common Multiple of 70712 and 70722?

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 70712 and 70722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70712 and 70722, than apply into the LCM equation.

GCF(70712,70722) = 2
LCM(70712,70722) = ( 70712 × 70722) / 2
LCM(70712,70722) = 5000894064 / 2
LCM(70712,70722) = 2500447032

Least Common Multiple (LCM) of 70712 and 70722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70712 and 70722. First we will calculate the prime factors of 70712 and 70722.

Prime Factorization of 70712

Prime Factorization of 70722

Now multiplying the highest exponent prime factors to calculate the LCM of 70712 and 70722.

LCM(70712,70722) = 2³ × 8839¹ × 3² × 3929¹
LCM(70712,70722) = 2500447032