What is the Least Common Multiple of 62184 and 62196?

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 62184 and 62196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62184 and 62196, than apply into the LCM equation.

GCF(62184,62196) = 12
LCM(62184,62196) = ( 62184 × 62196) / 12
LCM(62184,62196) = 3867596064 / 12
LCM(62184,62196) = 322299672

Least Common Multiple (LCM) of 62184 and 62196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62184 and 62196. First we will calculate the prime factors of 62184 and 62196.

Prime Factorization of 62184

Prime Factorization of 62196

Now multiplying the highest exponent prime factors to calculate the LCM of 62184 and 62196.

LCM(62184,62196) = 2³ × 3¹ × 2591¹ × 71¹ × 73¹
LCM(62184,62196) = 322299672