What is the Least Common Multiple of 59972 and 59986?

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 59972 and 59986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59972 and 59986, than apply into the LCM equation.

GCF(59972,59986) = 2
LCM(59972,59986) = ( 59972 × 59986) / 2
LCM(59972,59986) = 3597480392 / 2
LCM(59972,59986) = 1798740196

Least Common Multiple (LCM) of 59972 and 59986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59972 and 59986. First we will calculate the prime factors of 59972 and 59986.

Prime Factorization of 59972

Prime Factorization of 59986

Now multiplying the highest exponent prime factors to calculate the LCM of 59972 and 59986.

LCM(59972,59986) = 2² × 11¹ × 29¹ × 47¹ × 89¹ × 337¹
LCM(59972,59986) = 1798740196