What is the Least Common Multiple of 61194 and 61214?

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 61194 and 61214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61194 and 61214, than apply into the LCM equation.

GCF(61194,61214) = 2
LCM(61194,61214) = ( 61194 × 61214) / 2
LCM(61194,61214) = 3745929516 / 2
LCM(61194,61214) = 1872964758

Least Common Multiple (LCM) of 61194 and 61214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61194 and 61214. First we will calculate the prime factors of 61194 and 61214.

Prime Factorization of 61194

Prime Factorization of 61214

Now multiplying the highest exponent prime factors to calculate the LCM of 61194 and 61214.

LCM(61194,61214) = 2¹ × 3¹ × 7¹ × 31¹ × 47¹ × 127¹ × 241¹
LCM(61194,61214) = 1872964758