What is the Least Common Multiple of 98052 and 98070?

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 98052 and 98070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98052 and 98070, than apply into the LCM equation.

GCF(98052,98070) = 6
LCM(98052,98070) = ( 98052 × 98070) / 6
LCM(98052,98070) = 9615959640 / 6
LCM(98052,98070) = 1602659940

Least Common Multiple (LCM) of 98052 and 98070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98052 and 98070. First we will calculate the prime factors of 98052 and 98070.

Prime Factorization of 98052

Prime Factorization of 98070

Now multiplying the highest exponent prime factors to calculate the LCM of 98052 and 98070.

LCM(98052,98070) = 2² × 3¹ × 8171¹ × 5¹ × 7¹ × 467¹
LCM(98052,98070) = 1602659940