What is the Least Common Multiple of 61880 and 61897?

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 61880 and 61897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61880 and 61897, than apply into the LCM equation.

GCF(61880,61897) = 17
LCM(61880,61897) = ( 61880 × 61897) / 17
LCM(61880,61897) = 3830186360 / 17
LCM(61880,61897) = 225305080

Least Common Multiple (LCM) of 61880 and 61897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61880 and 61897. First we will calculate the prime factors of 61880 and 61897.

Prime Factorization of 61880

Prime Factorization of 61897

Now multiplying the highest exponent prime factors to calculate the LCM of 61880 and 61897.

LCM(61880,61897) = 2³ × 5¹ × 7¹ × 13¹ × 17¹ × 11¹ × 331¹
LCM(61880,61897) = 225305080