What is the Least Common Multiple of 79355 and 79373?

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 79355 and 79373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79355 and 79373, than apply into the LCM equation.

GCF(79355,79373) = 1
LCM(79355,79373) = ( 79355 × 79373) / 1
LCM(79355,79373) = 6298644415 / 1
LCM(79355,79373) = 6298644415

Least Common Multiple (LCM) of 79355 and 79373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79355 and 79373. First we will calculate the prime factors of 79355 and 79373.

Prime Factorization of 79355

Prime Factorization of 79373

Now multiplying the highest exponent prime factors to calculate the LCM of 79355 and 79373.

LCM(79355,79373) = 5¹ × 59¹ × 269¹ × 7¹ × 17¹ × 23¹ × 29¹
LCM(79355,79373) = 6298644415