What is the Least Common Multiple of 57758 and 57765?

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 57758 and 57765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57758 and 57765, than apply into the LCM equation.

GCF(57758,57765) = 1
LCM(57758,57765) = ( 57758 × 57765) / 1
LCM(57758,57765) = 3336390870 / 1
LCM(57758,57765) = 3336390870

Least Common Multiple (LCM) of 57758 and 57765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57758 and 57765. First we will calculate the prime factors of 57758 and 57765.

Prime Factorization of 57758

Prime Factorization of 57765

Now multiplying the highest exponent prime factors to calculate the LCM of 57758 and 57765.

LCM(57758,57765) = 2¹ × 28879¹ × 3¹ × 5¹ × 3851¹
LCM(57758,57765) = 3336390870