What is the Least Common Multiple of 61749 and 61769?

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 61749 and 61769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61749 and 61769, than apply into the LCM equation.

GCF(61749,61769) = 1
LCM(61749,61769) = ( 61749 × 61769) / 1
LCM(61749,61769) = 3814173981 / 1
LCM(61749,61769) = 3814173981

Least Common Multiple (LCM) of 61749 and 61769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61749 and 61769. First we will calculate the prime factors of 61749 and 61769.

Prime Factorization of 61749

Prime Factorization of 61769

Now multiplying the highest exponent prime factors to calculate the LCM of 61749 and 61769.

LCM(61749,61769) = 3³ × 2287¹ × 19¹ × 3251¹
LCM(61749,61769) = 3814173981