What is the Least Common Multiple of 49080 and 49096?

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 49080 and 49096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49080 and 49096, than apply into the LCM equation.

GCF(49080,49096) = 8
LCM(49080,49096) = ( 49080 × 49096) / 8
LCM(49080,49096) = 2409631680 / 8
LCM(49080,49096) = 301203960

Least Common Multiple (LCM) of 49080 and 49096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49080 and 49096. First we will calculate the prime factors of 49080 and 49096.

Prime Factorization of 49080

Prime Factorization of 49096

Now multiplying the highest exponent prime factors to calculate the LCM of 49080 and 49096.

LCM(49080,49096) = 2³ × 3¹ × 5¹ × 409¹ × 17¹ × 19²
LCM(49080,49096) = 301203960