What is the Least Common Multiple of 59078 and 59092?

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 59078 and 59092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59078 and 59092, than apply into the LCM equation.

GCF(59078,59092) = 2
LCM(59078,59092) = ( 59078 × 59092) / 2
LCM(59078,59092) = 3491037176 / 2
LCM(59078,59092) = 1745518588

Least Common Multiple (LCM) of 59078 and 59092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59078 and 59092. First we will calculate the prime factors of 59078 and 59092.

Prime Factorization of 59078

Prime Factorization of 59092

Now multiplying the highest exponent prime factors to calculate the LCM of 59078 and 59092.

LCM(59078,59092) = 2² × 109¹ × 271¹ × 11¹ × 17¹ × 79¹
LCM(59078,59092) = 1745518588