What is the Least Common Multiple of 59415 and 59435?

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 59415 and 59435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59415 and 59435, than apply into the LCM equation.

GCF(59415,59435) = 5
LCM(59415,59435) = ( 59415 × 59435) / 5
LCM(59415,59435) = 3531330525 / 5
LCM(59415,59435) = 706266105

Least Common Multiple (LCM) of 59415 and 59435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59415 and 59435. First we will calculate the prime factors of 59415 and 59435.

Prime Factorization of 59415

Prime Factorization of 59435

Now multiplying the highest exponent prime factors to calculate the LCM of 59415 and 59435.

LCM(59415,59435) = 3¹ × 5¹ × 17¹ × 233¹ × 11887¹
LCM(59415,59435) = 706266105