What is the Least Common Multiple of 70346 and 70364?

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 70346 and 70364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70346 and 70364, than apply into the LCM equation.

GCF(70346,70364) = 2
LCM(70346,70364) = ( 70346 × 70364) / 2
LCM(70346,70364) = 4949825944 / 2
LCM(70346,70364) = 2474912972

Least Common Multiple (LCM) of 70346 and 70364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70346 and 70364. First we will calculate the prime factors of 70346 and 70364.

Prime Factorization of 70346

Prime Factorization of 70364

Now multiplying the highest exponent prime factors to calculate the LCM of 70346 and 70364.

LCM(70346,70364) = 2² × 17¹ × 2069¹ × 7² × 359¹
LCM(70346,70364) = 2474912972