What is the Least Common Multiple of 98632 and 98637?
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 98632 and 98637 is 9728764584.
LCM(98632,98637) = 9728764584
Least Common Multiple of 98632 and 98637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98632 and 98637, than apply into the LCM equation.
GCF(98632,98637) = 1
LCM(98632,98637) = ( 98632 × 98637) / 1
LCM(98632,98637) = 9728764584 / 1
LCM(98632,98637) = 9728764584
Least Common Multiple (LCM) of 98632 and 98637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98632 and 98637. First we will calculate the prime factors of 98632 and 98637.
Prime Factorization of 98632
Prime factors of 98632 are 2, 12329. Prime factorization of 98632 in exponential form is:
98632 = 23 × 123291
Prime Factorization of 98637
Prime factors of 98637 are 3, 7, 11, 61. Prime factorization of 98637 in exponential form is:
98637 = 31 × 72 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 98632 and 98637.
LCM(98632,98637) = 23 × 123291 × 31 × 72 × 111 × 611
LCM(98632,98637) = 9728764584
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