What is the Least Common Multiple of 59795 and 59801?

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 59795 and 59801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59795 and 59801, than apply into the LCM equation.

GCF(59795,59801) = 1
LCM(59795,59801) = ( 59795 × 59801) / 1
LCM(59795,59801) = 3575800795 / 1
LCM(59795,59801) = 3575800795

Least Common Multiple (LCM) of 59795 and 59801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59795 and 59801. First we will calculate the prime factors of 59795 and 59801.

Prime Factorization of 59795

Prime Factorization of 59801

Now multiplying the highest exponent prime factors to calculate the LCM of 59795 and 59801.

LCM(59795,59801) = 5¹ × 11959¹ × 7¹ × 8543¹
LCM(59795,59801) = 3575800795