What is the Least Common Multiple of 69570 and 69588?

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 69570 and 69588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69570 and 69588, than apply into the LCM equation.

GCF(69570,69588) = 18
LCM(69570,69588) = ( 69570 × 69588) / 18
LCM(69570,69588) = 4841237160 / 18
LCM(69570,69588) = 268957620

Least Common Multiple (LCM) of 69570 and 69588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69570 and 69588. First we will calculate the prime factors of 69570 and 69588.

Prime Factorization of 69570

Prime Factorization of 69588

Now multiplying the highest exponent prime factors to calculate the LCM of 69570 and 69588.

LCM(69570,69588) = 2² × 3² × 5¹ × 773¹ × 1933¹
LCM(69570,69588) = 268957620