What is the Least Common Multiple of 65919 and 65933?

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 65919 and 65933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65919 and 65933, than apply into the LCM equation.

GCF(65919,65933) = 7
LCM(65919,65933) = ( 65919 × 65933) / 7
LCM(65919,65933) = 4346237427 / 7
LCM(65919,65933) = 620891061

Least Common Multiple (LCM) of 65919 and 65933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65919 and 65933. First we will calculate the prime factors of 65919 and 65933.

Prime Factorization of 65919

Prime Factorization of 65933

Now multiplying the highest exponent prime factors to calculate the LCM of 65919 and 65933.

LCM(65919,65933) = 3¹ × 7¹ × 43¹ × 73¹ × 9419¹
LCM(65919,65933) = 620891061