What is the Least Common Multiple of 99348 and 99362?

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 99348 and 99362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99348 and 99362, than apply into the LCM equation.

GCF(99348,99362) = 2
LCM(99348,99362) = ( 99348 × 99362) / 2
LCM(99348,99362) = 9871415976 / 2
LCM(99348,99362) = 4935707988

Least Common Multiple (LCM) of 99348 and 99362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99348 and 99362. First we will calculate the prime factors of 99348 and 99362.

Prime Factorization of 99348

Prime Factorization of 99362

Now multiplying the highest exponent prime factors to calculate the LCM of 99348 and 99362.

LCM(99348,99362) = 2² × 3¹ × 17¹ × 487¹ × 49681¹
LCM(99348,99362) = 4935707988