What is the Least Common Multiple of 43692 and 43703?

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 43692 and 43703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43692 and 43703, than apply into the LCM equation.

GCF(43692,43703) = 11
LCM(43692,43703) = ( 43692 × 43703) / 11
LCM(43692,43703) = 1909471476 / 11
LCM(43692,43703) = 173588316

Least Common Multiple (LCM) of 43692 and 43703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43692 and 43703. First we will calculate the prime factors of 43692 and 43703.

Prime Factorization of 43692

Prime Factorization of 43703

Now multiplying the highest exponent prime factors to calculate the LCM of 43692 and 43703.

LCM(43692,43703) = 2² × 3¹ × 11¹ × 331¹ × 29¹ × 137¹
LCM(43692,43703) = 173588316