What is the Least Common Multiple of 53198 and 53202?

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 53198 and 53202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53198 and 53202, than apply into the LCM equation.

GCF(53198,53202) = 2
LCM(53198,53202) = ( 53198 × 53202) / 2
LCM(53198,53202) = 2830239996 / 2
LCM(53198,53202) = 1415119998

Least Common Multiple (LCM) of 53198 and 53202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53198 and 53202. First we will calculate the prime factors of 53198 and 53202.

Prime Factorization of 53198

Prime Factorization of 53202

Now multiplying the highest exponent prime factors to calculate the LCM of 53198 and 53202.

LCM(53198,53202) = 2¹ × 67¹ × 397¹ × 3¹ × 8867¹
LCM(53198,53202) = 1415119998