What is the Least Common Multiple of 15080 and 15092?

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 15080 and 15092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15080 and 15092, than apply into the LCM equation.

GCF(15080,15092) = 4
LCM(15080,15092) = ( 15080 × 15092) / 4
LCM(15080,15092) = 227587360 / 4
LCM(15080,15092) = 56896840

Least Common Multiple (LCM) of 15080 and 15092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15080 and 15092. First we will calculate the prime factors of 15080 and 15092.

Prime Factorization of 15080

Prime Factorization of 15092

Now multiplying the highest exponent prime factors to calculate the LCM of 15080 and 15092.

LCM(15080,15092) = 2³ × 5¹ × 13¹ × 29¹ × 7³ × 11¹
LCM(15080,15092) = 56896840