What is the Least Common Multiple of 91420 and 91438?

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 91420 and 91438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91420 and 91438, than apply into the LCM equation.

GCF(91420,91438) = 2
LCM(91420,91438) = ( 91420 × 91438) / 2
LCM(91420,91438) = 8359261960 / 2
LCM(91420,91438) = 4179630980

Least Common Multiple (LCM) of 91420 and 91438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91420 and 91438. First we will calculate the prime factors of 91420 and 91438.

Prime Factorization of 91420

Prime Factorization of 91438

Now multiplying the highest exponent prime factors to calculate the LCM of 91420 and 91438.

LCM(91420,91438) = 2² × 5¹ × 7¹ × 653¹ × 131¹ × 349¹
LCM(91420,91438) = 4179630980