What is the Least Common Multiple of 59998 and 60002?

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 59998 and 60002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59998 and 60002, than apply into the LCM equation.

GCF(59998,60002) = 2
LCM(59998,60002) = ( 59998 × 60002) / 2
LCM(59998,60002) = 3599999996 / 2
LCM(59998,60002) = 1799999998

Least Common Multiple (LCM) of 59998 and 60002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59998 and 60002. First we will calculate the prime factors of 59998 and 60002.

Prime Factorization of 59998

Prime Factorization of 60002

Now multiplying the highest exponent prime factors to calculate the LCM of 59998 and 60002.

LCM(59998,60002) = 2¹ × 131¹ × 229¹ × 19¹ × 1579¹
LCM(59998,60002) = 1799999998