What is the Least Common Multiple of 98615 and 98632?
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 (LCM) of 98615 and 98632 is 9726594680.
LCM(98615,98632) = 9726594680
Least Common Multiple of 98615 and 98632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98615 and 98632, than apply into the LCM equation.
GCF(98615,98632) = 1
LCM(98615,98632) = ( 98615 × 98632) / 1
LCM(98615,98632) = 9726594680 / 1
LCM(98615,98632) = 9726594680
Least Common Multiple (LCM) of 98615 and 98632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98615 and 98632. First we will calculate the prime factors of 98615 and 98632.
Prime Factorization of 98615
Prime factors of 98615 are 5, 11, 163. Prime factorization of 98615 in exponential form is:
98615 = 51 × 112 × 1631
Prime Factorization of 98632
Prime factors of 98632 are 2, 12329. Prime factorization of 98632 in exponential form is:
98632 = 23 × 123291
Now multiplying the highest exponent prime factors to calculate the LCM of 98615 and 98632.
LCM(98615,98632) = 51 × 112 × 1631 × 23 × 123291
LCM(98615,98632) = 9726594680
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