What is the Least Common Multiple of 98639 and 98653?
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 98639 and 98653 is 9731033267.
LCM(98639,98653) = 9731033267
Least Common Multiple of 98639 and 98653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98639 and 98653, than apply into the LCM equation.
GCF(98639,98653) = 1
LCM(98639,98653) = ( 98639 × 98653) / 1
LCM(98639,98653) = 9731033267 / 1
LCM(98639,98653) = 9731033267
Least Common Multiple (LCM) of 98639 and 98653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98639 and 98653. First we will calculate the prime factors of 98639 and 98653.
Prime Factorization of 98639
Prime factors of 98639 are 98639. Prime factorization of 98639 in exponential form is:
98639 = 986391
Prime Factorization of 98653
Prime factors of 98653 are 47, 2099. Prime factorization of 98653 in exponential form is:
98653 = 471 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 98639 and 98653.
LCM(98639,98653) = 986391 × 471 × 20991
LCM(98639,98653) = 9731033267
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