What is the Least Common Multiple of 61413 and 61431?

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 61413 and 61431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61413 and 61431, than apply into the LCM equation.

GCF(61413,61431) = 3
LCM(61413,61431) = ( 61413 × 61431) / 3
LCM(61413,61431) = 3772662003 / 3
LCM(61413,61431) = 1257554001

Least Common Multiple (LCM) of 61413 and 61431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61413 and 61431. First we will calculate the prime factors of 61413 and 61431.

Prime Factorization of 61413

Prime Factorization of 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 61413 and 61431.

LCM(61413,61431) = 3¹ × 11¹ × 1861¹ × 20477¹
LCM(61413,61431) = 1257554001