What is the Least Common Multiple of 77282 and 77302?

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 77282 and 77302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77282 and 77302, than apply into the LCM equation.

GCF(77282,77302) = 2
LCM(77282,77302) = ( 77282 × 77302) / 2
LCM(77282,77302) = 5974053164 / 2
LCM(77282,77302) = 2987026582

Least Common Multiple (LCM) of 77282 and 77302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77282 and 77302. First we will calculate the prime factors of 77282 and 77302.

Prime Factorization of 77282

Prime Factorization of 77302

Now multiplying the highest exponent prime factors to calculate the LCM of 77282 and 77302.

LCM(77282,77302) = 2¹ × 17¹ × 2273¹ × 38651¹
LCM(77282,77302) = 2987026582