What is the Least Common Multiple of 69104 and 69124?

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 69104 and 69124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69104 and 69124, than apply into the LCM equation.

GCF(69104,69124) = 4
LCM(69104,69124) = ( 69104 × 69124) / 4
LCM(69104,69124) = 4776744896 / 4
LCM(69104,69124) = 1194186224

Least Common Multiple (LCM) of 69104 and 69124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69104 and 69124. First we will calculate the prime factors of 69104 and 69124.

Prime Factorization of 69104

Prime Factorization of 69124

Now multiplying the highest exponent prime factors to calculate the LCM of 69104 and 69124.

LCM(69104,69124) = 2⁴ × 7¹ × 617¹ × 11¹ × 1571¹
LCM(69104,69124) = 1194186224