What is the Least Common Multiple of 70272 and 70280?

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 70272 and 70280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70272 and 70280, than apply into the LCM equation.

GCF(70272,70280) = 8
LCM(70272,70280) = ( 70272 × 70280) / 8
LCM(70272,70280) = 4938716160 / 8
LCM(70272,70280) = 617339520

Least Common Multiple (LCM) of 70272 and 70280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70272 and 70280. First we will calculate the prime factors of 70272 and 70280.

Prime Factorization of 70272

Prime Factorization of 70280

Now multiplying the highest exponent prime factors to calculate the LCM of 70272 and 70280.

LCM(70272,70280) = 2⁷ × 3² × 61¹ × 5¹ × 7¹ × 251¹
LCM(70272,70280) = 617339520