What is the Least Common Multiple of 59730 and 59745?

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 59730 and 59745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59730 and 59745, than apply into the LCM equation.

GCF(59730,59745) = 15
LCM(59730,59745) = ( 59730 × 59745) / 15
LCM(59730,59745) = 3568568850 / 15
LCM(59730,59745) = 237904590

Least Common Multiple (LCM) of 59730 and 59745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59730 and 59745. First we will calculate the prime factors of 59730 and 59745.

Prime Factorization of 59730

Prime Factorization of 59745

Now multiplying the highest exponent prime factors to calculate the LCM of 59730 and 59745.

LCM(59730,59745) = 2¹ × 3¹ × 5¹ × 11¹ × 181¹ × 7¹ × 569¹
LCM(59730,59745) = 237904590