What is the Least Common Multiple of 61114 and 61120?

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 61114 and 61120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61114 and 61120, than apply into the LCM equation.

GCF(61114,61120) = 2
LCM(61114,61120) = ( 61114 × 61120) / 2
LCM(61114,61120) = 3735287680 / 2
LCM(61114,61120) = 1867643840

Least Common Multiple (LCM) of 61114 and 61120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61114 and 61120. First we will calculate the prime factors of 61114 and 61120.

Prime Factorization of 61114

Prime Factorization of 61120

Now multiplying the highest exponent prime factors to calculate the LCM of 61114 and 61120.

LCM(61114,61120) = 2⁶ × 30557¹ × 5¹ × 191¹
LCM(61114,61120) = 1867643840