What is the Least Common Multiple of 70944 and 70963?

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 70944 and 70963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70944 and 70963, than apply into the LCM equation.

GCF(70944,70963) = 1
LCM(70944,70963) = ( 70944 × 70963) / 1
LCM(70944,70963) = 5034399072 / 1
LCM(70944,70963) = 5034399072

Least Common Multiple (LCM) of 70944 and 70963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70944 and 70963. First we will calculate the prime factors of 70944 and 70963.

Prime Factorization of 70944

Prime Factorization of 70963

Now multiplying the highest exponent prime factors to calculate the LCM of 70944 and 70963.

LCM(70944,70963) = 2⁵ × 3¹ × 739¹ × 29¹ × 2447¹
LCM(70944,70963) = 5034399072