What is the Least Common Multiple of 57638 and 57645?

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 57638 and 57645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57638 and 57645, than apply into the LCM equation.

GCF(57638,57645) = 7
LCM(57638,57645) = ( 57638 × 57645) / 7
LCM(57638,57645) = 3322542510 / 7
LCM(57638,57645) = 474648930

Least Common Multiple (LCM) of 57638 and 57645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57638 and 57645. First we will calculate the prime factors of 57638 and 57645.

Prime Factorization of 57638

Prime Factorization of 57645

Now multiplying the highest exponent prime factors to calculate the LCM of 57638 and 57645.

LCM(57638,57645) = 2¹ × 7¹ × 23¹ × 179¹ × 3³ × 5¹ × 61¹
LCM(57638,57645) = 474648930