What is the Least Common Multiple of 79350 and 79355?

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 79350 and 79355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79350 and 79355, than apply into the LCM equation.

GCF(79350,79355) = 5
LCM(79350,79355) = ( 79350 × 79355) / 5
LCM(79350,79355) = 6296819250 / 5
LCM(79350,79355) = 1259363850

Least Common Multiple (LCM) of 79350 and 79355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79350 and 79355. First we will calculate the prime factors of 79350 and 79355.

Prime Factorization of 79350

Prime Factorization of 79355

Now multiplying the highest exponent prime factors to calculate the LCM of 79350 and 79355.

LCM(79350,79355) = 2¹ × 3¹ × 5² × 23² × 59¹ × 269¹
LCM(79350,79355) = 1259363850