What is the Least Common Multiple of 53978 and 53986?

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 53978 and 53986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53978 and 53986, than apply into the LCM equation.

GCF(53978,53986) = 2
LCM(53978,53986) = ( 53978 × 53986) / 2
LCM(53978,53986) = 2914056308 / 2
LCM(53978,53986) = 1457028154

Least Common Multiple (LCM) of 53978 and 53986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53978 and 53986. First we will calculate the prime factors of 53978 and 53986.

Prime Factorization of 53978

Prime Factorization of 53986

Now multiplying the highest exponent prime factors to calculate the LCM of 53978 and 53986.

LCM(53978,53986) = 2¹ × 137¹ × 197¹ × 26993¹
LCM(53978,53986) = 1457028154