What is the Least Common Multiple of 98256 and 98265?
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 98256 and 98265 is 3218375280.
LCM(98256,98265) = 3218375280
Least Common Multiple of 98256 and 98265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98256 and 98265, than apply into the LCM equation.
GCF(98256,98265) = 3
LCM(98256,98265) = ( 98256 × 98265) / 3
LCM(98256,98265) = 9655125840 / 3
LCM(98256,98265) = 3218375280
Least Common Multiple (LCM) of 98256 and 98265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98256 and 98265. First we will calculate the prime factors of 98256 and 98265.
Prime Factorization of 98256
Prime factors of 98256 are 2, 3, 23, 89. Prime factorization of 98256 in exponential form is:
98256 = 24 × 31 × 231 × 891
Prime Factorization of 98265
Prime factors of 98265 are 3, 5, 6551. Prime factorization of 98265 in exponential form is:
98265 = 31 × 51 × 65511
Now multiplying the highest exponent prime factors to calculate the LCM of 98256 and 98265.
LCM(98256,98265) = 24 × 31 × 231 × 891 × 51 × 65511
LCM(98256,98265) = 3218375280
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