What is the Least Common Multiple of 74214 and 74220?

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 74214 and 74220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74214 and 74220, than apply into the LCM equation.

GCF(74214,74220) = 6
LCM(74214,74220) = ( 74214 × 74220) / 6
LCM(74214,74220) = 5508163080 / 6
LCM(74214,74220) = 918027180

Least Common Multiple (LCM) of 74214 and 74220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74214 and 74220. First we will calculate the prime factors of 74214 and 74220.

Prime Factorization of 74214

Prime Factorization of 74220

Now multiplying the highest exponent prime factors to calculate the LCM of 74214 and 74220.

LCM(74214,74220) = 2² × 3² × 7¹ × 19¹ × 31¹ × 5¹ × 1237¹
LCM(74214,74220) = 918027180