What is the Least Common Multiple of 61130 and 61138?

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 61130 and 61138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61130 and 61138, than apply into the LCM equation.

GCF(61130,61138) = 2
LCM(61130,61138) = ( 61130 × 61138) / 2
LCM(61130,61138) = 3737365940 / 2
LCM(61130,61138) = 1868682970

Least Common Multiple (LCM) of 61130 and 61138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61130 and 61138. First we will calculate the prime factors of 61130 and 61138.

Prime Factorization of 61130

Prime Factorization of 61138

Now multiplying the highest exponent prime factors to calculate the LCM of 61130 and 61138.

LCM(61130,61138) = 2¹ × 5¹ × 6113¹ × 7¹ × 11¹ × 397¹
LCM(61130,61138) = 1868682970