What is the Least Common Multiple of 59255 and 59260?

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 59255 and 59260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59255 and 59260, than apply into the LCM equation.

GCF(59255,59260) = 5
LCM(59255,59260) = ( 59255 × 59260) / 5
LCM(59255,59260) = 3511451300 / 5
LCM(59255,59260) = 702290260

Least Common Multiple (LCM) of 59255 and 59260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59255 and 59260. First we will calculate the prime factors of 59255 and 59260.

Prime Factorization of 59255

Prime Factorization of 59260

Now multiplying the highest exponent prime factors to calculate the LCM of 59255 and 59260.

LCM(59255,59260) = 5¹ × 7¹ × 1693¹ × 2² × 2963¹
LCM(59255,59260) = 702290260