What is the Least Common Multiple of 67938 and 67945?

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 67938 and 67945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67938 and 67945, than apply into the LCM equation.

GCF(67938,67945) = 1
LCM(67938,67945) = ( 67938 × 67945) / 1
LCM(67938,67945) = 4616047410 / 1
LCM(67938,67945) = 4616047410

Least Common Multiple (LCM) of 67938 and 67945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67938 and 67945. First we will calculate the prime factors of 67938 and 67945.

Prime Factorization of 67938

Prime Factorization of 67945

Now multiplying the highest exponent prime factors to calculate the LCM of 67938 and 67945.

LCM(67938,67945) = 2¹ × 3¹ × 13² × 67¹ × 5¹ × 107¹ × 127¹
LCM(67938,67945) = 4616047410