What is the Least Common Multiple of 67921 and 67938?

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 67921 and 67938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67921 and 67938, than apply into the LCM equation.

GCF(67921,67938) = 1
LCM(67921,67938) = ( 67921 × 67938) / 1
LCM(67921,67938) = 4614416898 / 1
LCM(67921,67938) = 4614416898

Least Common Multiple (LCM) of 67921 and 67938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67921 and 67938. First we will calculate the prime factors of 67921 and 67938.

Prime Factorization of 67921

Prime Factorization of 67938

Now multiplying the highest exponent prime factors to calculate the LCM of 67921 and 67938.

LCM(67921,67938) = 7¹ × 31¹ × 313¹ × 2¹ × 3¹ × 13² × 67¹
LCM(67921,67938) = 4614416898