What is the Least Common Multiple of 61185 and 61202?

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 61185 and 61202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61185 and 61202, than apply into the LCM equation.

GCF(61185,61202) = 1
LCM(61185,61202) = ( 61185 × 61202) / 1
LCM(61185,61202) = 3744644370 / 1
LCM(61185,61202) = 3744644370

Least Common Multiple (LCM) of 61185 and 61202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61185 and 61202. First we will calculate the prime factors of 61185 and 61202.

Prime Factorization of 61185

Prime Factorization of 61202

Now multiplying the highest exponent prime factors to calculate the LCM of 61185 and 61202.

LCM(61185,61202) = 3¹ × 5¹ × 4079¹ × 2¹ × 71¹ × 431¹
LCM(61185,61202) = 3744644370