What is the Least Common Multiple of 62195 and 62202?

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 62195 and 62202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62195 and 62202, than apply into the LCM equation.

GCF(62195,62202) = 7
LCM(62195,62202) = ( 62195 × 62202) / 7
LCM(62195,62202) = 3868653390 / 7
LCM(62195,62202) = 552664770

Least Common Multiple (LCM) of 62195 and 62202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62195 and 62202. First we will calculate the prime factors of 62195 and 62202.

Prime Factorization of 62195

Prime Factorization of 62202

Now multiplying the highest exponent prime factors to calculate the LCM of 62195 and 62202.

LCM(62195,62202) = 5¹ × 7¹ × 1777¹ × 2¹ × 3¹ × 1481¹
LCM(62195,62202) = 552664770