What is the Least Common Multiple of 48684 and 48703?

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 48684 and 48703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48684 and 48703, than apply into the LCM equation.

GCF(48684,48703) = 1
LCM(48684,48703) = ( 48684 × 48703) / 1
LCM(48684,48703) = 2371056852 / 1
LCM(48684,48703) = 2371056852

Least Common Multiple (LCM) of 48684 and 48703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48684 and 48703. First we will calculate the prime factors of 48684 and 48703.

Prime Factorization of 48684

Prime Factorization of 48703

Now multiplying the highest exponent prime factors to calculate the LCM of 48684 and 48703.

LCM(48684,48703) = 2² × 3¹ × 4057¹ × 113¹ × 431¹
LCM(48684,48703) = 2371056852