What is the Least Common Multiple of 61193 and 61213?

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 61193 and 61213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61193 and 61213, than apply into the LCM equation.

GCF(61193,61213) = 1
LCM(61193,61213) = ( 61193 × 61213) / 1
LCM(61193,61213) = 3745807109 / 1
LCM(61193,61213) = 3745807109

Least Common Multiple (LCM) of 61193 and 61213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61193 and 61213. First we will calculate the prime factors of 61193 and 61213.

Prime Factorization of 61193

Prime Factorization of 61213

Now multiplying the highest exponent prime factors to calculate the LCM of 61193 and 61213.

LCM(61193,61213) = 11¹ × 5563¹ × 41¹ × 1493¹
LCM(61193,61213) = 3745807109