What is the Least Common Multiple of 61419 and 61437?

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 61419 and 61437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61419 and 61437, than apply into the LCM equation.

GCF(61419,61437) = 3
LCM(61419,61437) = ( 61419 × 61437) / 3
LCM(61419,61437) = 3773399103 / 3
LCM(61419,61437) = 1257799701

Least Common Multiple (LCM) of 61419 and 61437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61419 and 61437. First we will calculate the prime factors of 61419 and 61437.

Prime Factorization of 61419

Prime Factorization of 61437

Now multiplying the highest exponent prime factors to calculate the LCM of 61419 and 61437.

LCM(61419,61437) = 3¹ × 59¹ × 347¹ × 20479¹
LCM(61419,61437) = 1257799701