GCF and LCM Calculator Logo

What is the Least Common Multiple of 49570 and 49588?

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 (LCM) of 49570 and 49588 is 1229038580.

LCM(49570,49588) = 1229038580

LCM Calculator and
and

Least Common Multiple of 49570 and 49588 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 49588, than apply into the LCM equation.

GCF(49570,49588) = 2
LCM(49570,49588) = ( 49570 × 49588) / 2
LCM(49570,49588) = 2458077160 / 2
LCM(49570,49588) = 1229038580

Least Common Multiple (LCM) of 49570 and 49588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49570 and 49588. First we will calculate the prime factors of 49570 and 49588.

Prime Factorization of 49570

Prime factors of 49570 are 2, 5, 4957. Prime factorization of 49570 in exponential form is:

49570 = 21 × 51 × 49571

Prime Factorization of 49588

Prime factors of 49588 are 2, 7, 11, 23. Prime factorization of 49588 in exponential form is:

49588 = 22 × 72 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 49570 and 49588.

LCM(49570,49588) = 22 × 51 × 49571 × 72 × 111 × 231
LCM(49570,49588) = 1229038580