What is the Least Common Multiple of 59969 and 59981?

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 59969 and 59981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59969 and 59981, than apply into the LCM equation.

GCF(59969,59981) = 1
LCM(59969,59981) = ( 59969 × 59981) / 1
LCM(59969,59981) = 3597000589 / 1
LCM(59969,59981) = 3597000589

Least Common Multiple (LCM) of 59969 and 59981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59969 and 59981. First we will calculate the prime factors of 59969 and 59981.

Prime Factorization of 59969

Prime Factorization of 59981

Now multiplying the highest exponent prime factors to calculate the LCM of 59969 and 59981.

LCM(59969,59981) = 7¹ × 13¹ × 659¹ × 59981¹
LCM(59969,59981) = 3597000589