What is the Least Common Multiple of 59295 and 59313?

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 59295 and 59313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59295 and 59313, than apply into the LCM equation.

GCF(59295,59313) = 3
LCM(59295,59313) = ( 59295 × 59313) / 3
LCM(59295,59313) = 3516964335 / 3
LCM(59295,59313) = 1172321445

Least Common Multiple (LCM) of 59295 and 59313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59295 and 59313. First we will calculate the prime factors of 59295 and 59313.

Prime Factorization of 59295

Prime Factorization of 59313

Now multiplying the highest exponent prime factors to calculate the LCM of 59295 and 59313.

LCM(59295,59313) = 3¹ × 5¹ × 59¹ × 67¹ × 17¹ × 1163¹
LCM(59295,59313) = 1172321445