What is the Least Common Multiple of 71056 and 71070?

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 71056 and 71070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71056 and 71070, than apply into the LCM equation.

GCF(71056,71070) = 2
LCM(71056,71070) = ( 71056 × 71070) / 2
LCM(71056,71070) = 5049949920 / 2
LCM(71056,71070) = 2524974960

Least Common Multiple (LCM) of 71056 and 71070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71056 and 71070. First we will calculate the prime factors of 71056 and 71070.

Prime Factorization of 71056

Prime Factorization of 71070

Now multiplying the highest exponent prime factors to calculate the LCM of 71056 and 71070.

LCM(71056,71070) = 2⁴ × 4441¹ × 3¹ × 5¹ × 23¹ × 103¹
LCM(71056,71070) = 2524974960