What is the Least Common Multiple of 61936 and 61942?

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 61936 and 61942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61936 and 61942, than apply into the LCM equation.

GCF(61936,61942) = 2
LCM(61936,61942) = ( 61936 × 61942) / 2
LCM(61936,61942) = 3836439712 / 2
LCM(61936,61942) = 1918219856

Least Common Multiple (LCM) of 61936 and 61942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61936 and 61942. First we will calculate the prime factors of 61936 and 61942.

Prime Factorization of 61936

Prime Factorization of 61942

Now multiplying the highest exponent prime factors to calculate the LCM of 61936 and 61942.

LCM(61936,61942) = 2⁴ × 7² × 79¹ × 30971¹
LCM(61936,61942) = 1918219856