What is the Least Common Multiple of 70378 and 70396?

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 70378 and 70396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70378 and 70396, than apply into the LCM equation.

GCF(70378,70396) = 2
LCM(70378,70396) = ( 70378 × 70396) / 2
LCM(70378,70396) = 4954329688 / 2
LCM(70378,70396) = 2477164844

Least Common Multiple (LCM) of 70378 and 70396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70378 and 70396. First we will calculate the prime factors of 70378 and 70396.

Prime Factorization of 70378

Prime Factorization of 70396

Now multiplying the highest exponent prime factors to calculate the LCM of 70378 and 70396.

LCM(70378,70396) = 2² × 7¹ × 11¹ × 457¹ × 17599¹
LCM(70378,70396) = 2477164844