What is the Least Common Multiple of 98227 and 98237?
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 98227 and 98237 is 9649525799.
LCM(98227,98237) = 9649525799
Least Common Multiple of 98227 and 98237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98227 and 98237, than apply into the LCM equation.
GCF(98227,98237) = 1
LCM(98227,98237) = ( 98227 × 98237) / 1
LCM(98227,98237) = 9649525799 / 1
LCM(98227,98237) = 9649525799
Least Common Multiple (LCM) of 98227 and 98237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98227 and 98237. First we will calculate the prime factors of 98227 and 98237.
Prime Factorization of 98227
Prime factors of 98227 are 98227. Prime factorization of 98227 in exponential form is:
98227 = 982271
Prime Factorization of 98237
Prime factors of 98237 are 193, 509. Prime factorization of 98237 in exponential form is:
98237 = 1931 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 98227 and 98237.
LCM(98227,98237) = 982271 × 1931 × 5091
LCM(98227,98237) = 9649525799
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