What is the Least Common Multiple of 98700 and 98713?

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 98700 and 98713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98700 and 98713, than apply into the LCM equation.

GCF(98700,98713) = 1
LCM(98700,98713) = ( 98700 × 98713) / 1
LCM(98700,98713) = 9742973100 / 1
LCM(98700,98713) = 9742973100

Least Common Multiple (LCM) of 98700 and 98713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98700 and 98713. First we will calculate the prime factors of 98700 and 98713.

Prime Factorization of 98700

Prime Factorization of 98713

Now multiplying the highest exponent prime factors to calculate the LCM of 98700 and 98713.

LCM(98700,98713) = 2² × 3¹ × 5² × 7¹ × 47¹ × 98713¹
LCM(98700,98713) = 9742973100