What is the Least Common Multiple of 43645 and 43660?

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 43645 and 43660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43645 and 43660, than apply into the LCM equation.

GCF(43645,43660) = 5
LCM(43645,43660) = ( 43645 × 43660) / 5
LCM(43645,43660) = 1905540700 / 5
LCM(43645,43660) = 381108140

Least Common Multiple (LCM) of 43645 and 43660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43645 and 43660. First we will calculate the prime factors of 43645 and 43660.

Prime Factorization of 43645

Prime Factorization of 43660

Now multiplying the highest exponent prime factors to calculate the LCM of 43645 and 43660.

LCM(43645,43660) = 5¹ × 7¹ × 29¹ × 43¹ × 2² × 37¹ × 59¹
LCM(43645,43660) = 381108140