What is the Least Common Multiple of 67935 and 67954?

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 67935 and 67954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67935 and 67954, than apply into the LCM equation.

GCF(67935,67954) = 1
LCM(67935,67954) = ( 67935 × 67954) / 1
LCM(67935,67954) = 4616454990 / 1
LCM(67935,67954) = 4616454990

Least Common Multiple (LCM) of 67935 and 67954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67935 and 67954. First we will calculate the prime factors of 67935 and 67954.

Prime Factorization of 67935

Prime Factorization of 67954

Now multiplying the highest exponent prime factors to calculate the LCM of 67935 and 67954.

LCM(67935,67954) = 3¹ × 5¹ × 7¹ × 647¹ × 2¹ × 61¹ × 557¹
LCM(67935,67954) = 4616454990