What is the Least Common Multiple of 70056 and 70066?

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 70056 and 70066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70056 and 70066, than apply into the LCM equation.

GCF(70056,70066) = 2
LCM(70056,70066) = ( 70056 × 70066) / 2
LCM(70056,70066) = 4908543696 / 2
LCM(70056,70066) = 2454271848

Least Common Multiple (LCM) of 70056 and 70066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70056 and 70066. First we will calculate the prime factors of 70056 and 70066.

Prime Factorization of 70056

Prime Factorization of 70066

Now multiplying the highest exponent prime factors to calculate the LCM of 70056 and 70066.

LCM(70056,70066) = 2³ × 3² × 7¹ × 139¹ × 53¹ × 661¹
LCM(70056,70066) = 2454271848