What is the Least Common Multiple of 61223 and 61240?

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 61223 and 61240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61223 and 61240, than apply into the LCM equation.

GCF(61223,61240) = 1
LCM(61223,61240) = ( 61223 × 61240) / 1
LCM(61223,61240) = 3749296520 / 1
LCM(61223,61240) = 3749296520

Least Common Multiple (LCM) of 61223 and 61240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61223 and 61240. First we will calculate the prime factors of 61223 and 61240.

Prime Factorization of 61223

Prime Factorization of 61240

Now multiplying the highest exponent prime factors to calculate the LCM of 61223 and 61240.

LCM(61223,61240) = 61223¹ × 2³ × 5¹ × 1531¹
LCM(61223,61240) = 3749296520