What is the Least Common Multiple of 70083 and 70102?

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 70083 and 70102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70083 and 70102, than apply into the LCM equation.

GCF(70083,70102) = 1
LCM(70083,70102) = ( 70083 × 70102) / 1
LCM(70083,70102) = 4912958466 / 1
LCM(70083,70102) = 4912958466

Least Common Multiple (LCM) of 70083 and 70102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70083 and 70102. First we will calculate the prime factors of 70083 and 70102.

Prime Factorization of 70083

Prime Factorization of 70102

Now multiplying the highest exponent prime factors to calculate the LCM of 70083 and 70102.

LCM(70083,70102) = 3² × 13¹ × 599¹ × 2¹ × 35051¹
LCM(70083,70102) = 4912958466