What is the Least Common Multiple of 70600 and 70616?

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 70600 and 70616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70600 and 70616, than apply into the LCM equation.

GCF(70600,70616) = 8
LCM(70600,70616) = ( 70600 × 70616) / 8
LCM(70600,70616) = 4985489600 / 8
LCM(70600,70616) = 623186200

Least Common Multiple (LCM) of 70600 and 70616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70600 and 70616. First we will calculate the prime factors of 70600 and 70616.

Prime Factorization of 70600

Prime Factorization of 70616

Now multiplying the highest exponent prime factors to calculate the LCM of 70600 and 70616.

LCM(70600,70616) = 2³ × 5² × 353¹ × 7¹ × 13¹ × 97¹
LCM(70600,70616) = 623186200