What is the Least Common Multiple of 49460 and 49475?

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 49460 and 49475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49460 and 49475, than apply into the LCM equation.

GCF(49460,49475) = 5
LCM(49460,49475) = ( 49460 × 49475) / 5
LCM(49460,49475) = 2447033500 / 5
LCM(49460,49475) = 489406700

Least Common Multiple (LCM) of 49460 and 49475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49460 and 49475. First we will calculate the prime factors of 49460 and 49475.

Prime Factorization of 49460

Prime Factorization of 49475

Now multiplying the highest exponent prime factors to calculate the LCM of 49460 and 49475.

LCM(49460,49475) = 2² × 5² × 2473¹ × 1979¹
LCM(49460,49475) = 489406700