What is the Least Common Multiple of 48080 and 48092?

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 48080 and 48092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48080 and 48092, than apply into the LCM equation.

GCF(48080,48092) = 4
LCM(48080,48092) = ( 48080 × 48092) / 4
LCM(48080,48092) = 2312263360 / 4
LCM(48080,48092) = 578065840

Least Common Multiple (LCM) of 48080 and 48092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48080 and 48092. First we will calculate the prime factors of 48080 and 48092.

Prime Factorization of 48080

Prime Factorization of 48092

Now multiplying the highest exponent prime factors to calculate the LCM of 48080 and 48092.

LCM(48080,48092) = 2⁴ × 5¹ × 601¹ × 11¹ × 1093¹
LCM(48080,48092) = 578065840