What is the Least Common Multiple of 70416 and 70420?

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 70416 and 70420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70416 and 70420, than apply into the LCM equation.

GCF(70416,70420) = 4
LCM(70416,70420) = ( 70416 × 70420) / 4
LCM(70416,70420) = 4958694720 / 4
LCM(70416,70420) = 1239673680

Least Common Multiple (LCM) of 70416 and 70420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70416 and 70420. First we will calculate the prime factors of 70416 and 70420.

Prime Factorization of 70416

Prime Factorization of 70420

Now multiplying the highest exponent prime factors to calculate the LCM of 70416 and 70420.

LCM(70416,70420) = 2⁴ × 3³ × 163¹ × 5¹ × 7¹ × 503¹
LCM(70416,70420) = 1239673680