What is the Least Common Multiple of 61214 and 61228?

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 61214 and 61228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61214 and 61228, than apply into the LCM equation.

GCF(61214,61228) = 2
LCM(61214,61228) = ( 61214 × 61228) / 2
LCM(61214,61228) = 3748010792 / 2
LCM(61214,61228) = 1874005396

Least Common Multiple (LCM) of 61214 and 61228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61214 and 61228. First we will calculate the prime factors of 61214 and 61228.

Prime Factorization of 61214

Prime Factorization of 61228

Now multiplying the highest exponent prime factors to calculate the LCM of 61214 and 61228.

LCM(61214,61228) = 2² × 127¹ × 241¹ × 15307¹
LCM(61214,61228) = 1874005396