What is the Least Common Multiple of 69483 and 69502?

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 69483 and 69502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69483 and 69502, than apply into the LCM equation.

GCF(69483,69502) = 19
LCM(69483,69502) = ( 69483 × 69502) / 19
LCM(69483,69502) = 4829207466 / 19
LCM(69483,69502) = 254168814

Least Common Multiple (LCM) of 69483 and 69502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69483 and 69502. First we will calculate the prime factors of 69483 and 69502.

Prime Factorization of 69483

Prime Factorization of 69502

Now multiplying the highest exponent prime factors to calculate the LCM of 69483 and 69502.

LCM(69483,69502) = 3¹ × 19¹ × 23¹ × 53¹ × 2¹ × 31¹ × 59¹
LCM(69483,69502) = 254168814