What is the Least Common Multiple of 61174 and 61189?

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 61174 and 61189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61174 and 61189, than apply into the LCM equation.

GCF(61174,61189) = 1
LCM(61174,61189) = ( 61174 × 61189) / 1
LCM(61174,61189) = 3743175886 / 1
LCM(61174,61189) = 3743175886

Least Common Multiple (LCM) of 61174 and 61189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61174 and 61189. First we will calculate the prime factors of 61174 and 61189.

Prime Factorization of 61174

Prime Factorization of 61189

Now multiplying the highest exponent prime factors to calculate the LCM of 61174 and 61189.

LCM(61174,61189) = 2¹ × 73¹ × 419¹ × 43¹ × 1423¹
LCM(61174,61189) = 3743175886