What is the Least Common Multiple of 56762 and 56768?

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 56762 and 56768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56762 and 56768, than apply into the LCM equation.

GCF(56762,56768) = 2
LCM(56762,56768) = ( 56762 × 56768) / 2
LCM(56762,56768) = 3222265216 / 2
LCM(56762,56768) = 1611132608

Least Common Multiple (LCM) of 56762 and 56768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56762 and 56768. First we will calculate the prime factors of 56762 and 56768.

Prime Factorization of 56762

Prime Factorization of 56768

Now multiplying the highest exponent prime factors to calculate the LCM of 56762 and 56768.

LCM(56762,56768) = 2⁶ × 101¹ × 281¹ × 887¹
LCM(56762,56768) = 1611132608