What is the Least Common Multiple of 49570 and 49585?

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 49570 and 49585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49570 and 49585, than apply into the LCM equation.

GCF(49570,49585) = 5
LCM(49570,49585) = ( 49570 × 49585) / 5
LCM(49570,49585) = 2457928450 / 5
LCM(49570,49585) = 491585690

Least Common Multiple (LCM) of 49570 and 49585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49570 and 49585. First we will calculate the prime factors of 49570 and 49585.

Prime Factorization of 49570

Prime Factorization of 49585

Now multiplying the highest exponent prime factors to calculate the LCM of 49570 and 49585.

LCM(49570,49585) = 2¹ × 5¹ × 4957¹ × 47¹ × 211¹
LCM(49570,49585) = 491585690