What is the Least Common Multiple of 98104 and 98112?

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 98104 and 98112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98104 and 98112, than apply into the LCM equation.

GCF(98104,98112) = 8
LCM(98104,98112) = ( 98104 × 98112) / 8
LCM(98104,98112) = 9625179648 / 8
LCM(98104,98112) = 1203147456

Least Common Multiple (LCM) of 98104 and 98112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98104 and 98112. First we will calculate the prime factors of 98104 and 98112.

Prime Factorization of 98104

Prime Factorization of 98112

Now multiplying the highest exponent prime factors to calculate the LCM of 98104 and 98112.

LCM(98104,98112) = 2⁶ × 12263¹ × 3¹ × 7¹ × 73¹
LCM(98104,98112) = 1203147456