What is the Least Common Multiple of 70960 and 70978?

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 70960 and 70978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70960 and 70978, than apply into the LCM equation.

GCF(70960,70978) = 2
LCM(70960,70978) = ( 70960 × 70978) / 2
LCM(70960,70978) = 5036598880 / 2
LCM(70960,70978) = 2518299440

Least Common Multiple (LCM) of 70960 and 70978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70960 and 70978. First we will calculate the prime factors of 70960 and 70978.

Prime Factorization of 70960

Prime Factorization of 70978

Now multiplying the highest exponent prime factors to calculate the LCM of 70960 and 70978.

LCM(70960,70978) = 2⁴ × 5¹ × 887¹ × 23¹ × 1543¹
LCM(70960,70978) = 2518299440