What is the Least Common Multiple of 88350 and 88356?

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 88350 and 88356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88350 and 88356, than apply into the LCM equation.

GCF(88350,88356) = 6
LCM(88350,88356) = ( 88350 × 88356) / 6
LCM(88350,88356) = 7806252600 / 6
LCM(88350,88356) = 1301042100

Least Common Multiple (LCM) of 88350 and 88356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88350 and 88356. First we will calculate the prime factors of 88350 and 88356.

Prime Factorization of 88350

Prime Factorization of 88356

Now multiplying the highest exponent prime factors to calculate the LCM of 88350 and 88356.

LCM(88350,88356) = 2² × 3¹ × 5² × 19¹ × 31¹ × 37¹ × 199¹
LCM(88350,88356) = 1301042100