What is the Least Common Multiple of 98355 and 98364?

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 98355 and 98364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98355 and 98364, than apply into the LCM equation.

GCF(98355,98364) = 3
LCM(98355,98364) = ( 98355 × 98364) / 3
LCM(98355,98364) = 9674591220 / 3
LCM(98355,98364) = 3224863740

Least Common Multiple (LCM) of 98355 and 98364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98355 and 98364. First we will calculate the prime factors of 98355 and 98364.

Prime Factorization of 98355

Prime Factorization of 98364

Now multiplying the highest exponent prime factors to calculate the LCM of 98355 and 98364.

LCM(98355,98364) = 3¹ × 5¹ × 79¹ × 83¹ × 2² × 7¹ × 1171¹
LCM(98355,98364) = 3224863740