GCF and LCM Calculator Logo

What is the Least Common Multiple of 53745 and 53758?

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 53745 and 53758 is 2889223710.

LCM(53745,53758) = 2889223710

LCM Calculator and
and

Least Common Multiple of 53745 and 53758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53745 and 53758, than apply into the LCM equation.

GCF(53745,53758) = 1
LCM(53745,53758) = ( 53745 × 53758) / 1
LCM(53745,53758) = 2889223710 / 1
LCM(53745,53758) = 2889223710

Least Common Multiple (LCM) of 53745 and 53758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53745 and 53758. First we will calculate the prime factors of 53745 and 53758.

Prime Factorization of 53745

Prime factors of 53745 are 3, 5, 3583. Prime factorization of 53745 in exponential form is:

53745 = 31 × 51 × 35831

Prime Factorization of 53758

Prime factors of 53758 are 2, 26879. Prime factorization of 53758 in exponential form is:

53758 = 21 × 268791

Now multiplying the highest exponent prime factors to calculate the LCM of 53745 and 53758.

LCM(53745,53758) = 31 × 51 × 35831 × 21 × 268791
LCM(53745,53758) = 2889223710