What is the Least Common Multiple of 67402 and 67420?

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 67402 and 67420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67402 and 67420, than apply into the LCM equation.

GCF(67402,67420) = 2
LCM(67402,67420) = ( 67402 × 67420) / 2
LCM(67402,67420) = 4544242840 / 2
LCM(67402,67420) = 2272121420

Least Common Multiple (LCM) of 67402 and 67420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67402 and 67420. First we will calculate the prime factors of 67402 and 67420.

Prime Factorization of 67402

Prime Factorization of 67420

Now multiplying the highest exponent prime factors to calculate the LCM of 67402 and 67420.

LCM(67402,67420) = 2² × 67¹ × 503¹ × 5¹ × 3371¹
LCM(67402,67420) = 2272121420