What is the Least Common Multiple of 59280 and 59295?

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 59280 and 59295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59280 and 59295, than apply into the LCM equation.

GCF(59280,59295) = 15
LCM(59280,59295) = ( 59280 × 59295) / 15
LCM(59280,59295) = 3515007600 / 15
LCM(59280,59295) = 234333840

Least Common Multiple (LCM) of 59280 and 59295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59280 and 59295. First we will calculate the prime factors of 59280 and 59295.

Prime Factorization of 59280

Prime Factorization of 59295

Now multiplying the highest exponent prime factors to calculate the LCM of 59280 and 59295.

LCM(59280,59295) = 2⁴ × 3¹ × 5¹ × 13¹ × 19¹ × 59¹ × 67¹
LCM(59280,59295) = 234333840