What is the Least Common Multiple of 67052 and 67067?

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 67052 and 67067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67052 and 67067, than apply into the LCM equation.

GCF(67052,67067) = 1
LCM(67052,67067) = ( 67052 × 67067) / 1
LCM(67052,67067) = 4496976484 / 1
LCM(67052,67067) = 4496976484

Least Common Multiple (LCM) of 67052 and 67067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67052 and 67067. First we will calculate the prime factors of 67052 and 67067.

Prime Factorization of 67052

Prime Factorization of 67067

Now multiplying the highest exponent prime factors to calculate the LCM of 67052 and 67067.

LCM(67052,67067) = 2² × 16763¹ × 7¹ × 11¹ × 13¹ × 67¹
LCM(67052,67067) = 4496976484