What is the Least Common Multiple of 70360 and 70379?

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 70360 and 70379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70360 and 70379, than apply into the LCM equation.

GCF(70360,70379) = 1
LCM(70360,70379) = ( 70360 × 70379) / 1
LCM(70360,70379) = 4951866440 / 1
LCM(70360,70379) = 4951866440

Least Common Multiple (LCM) of 70360 and 70379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70360 and 70379. First we will calculate the prime factors of 70360 and 70379.

Prime Factorization of 70360

Prime Factorization of 70379

Now multiplying the highest exponent prime factors to calculate the LCM of 70360 and 70379.

LCM(70360,70379) = 2³ × 5¹ × 1759¹ × 70379¹
LCM(70360,70379) = 4951866440