What is the Least Common Multiple of 61046 and 61060?

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 61046 and 61060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61046 and 61060, than apply into the LCM equation.

GCF(61046,61060) = 2
LCM(61046,61060) = ( 61046 × 61060) / 2
LCM(61046,61060) = 3727468760 / 2
LCM(61046,61060) = 1863734380

Least Common Multiple (LCM) of 61046 and 61060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61046 and 61060. First we will calculate the prime factors of 61046 and 61060.

Prime Factorization of 61046

Prime Factorization of 61060

Now multiplying the highest exponent prime factors to calculate the LCM of 61046 and 61060.

LCM(61046,61060) = 2² × 131¹ × 233¹ × 5¹ × 43¹ × 71¹
LCM(61046,61060) = 1863734380