What is the Least Common Multiple of 59962 and 59969?

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 59962 and 59969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59962 and 59969, than apply into the LCM equation.

GCF(59962,59969) = 7
LCM(59962,59969) = ( 59962 × 59969) / 7
LCM(59962,59969) = 3595861178 / 7
LCM(59962,59969) = 513694454

Least Common Multiple (LCM) of 59962 and 59969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59962 and 59969. First we will calculate the prime factors of 59962 and 59969.

Prime Factorization of 59962

Prime Factorization of 59969

Now multiplying the highest exponent prime factors to calculate the LCM of 59962 and 59969.

LCM(59962,59969) = 2¹ × 7¹ × 4283¹ × 13¹ × 659¹
LCM(59962,59969) = 513694454