What is the Least Common Multiple of 98027 and 98038?
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 98027 and 98038 is 9610371026.
LCM(98027,98038) = 9610371026
Least Common Multiple of 98027 and 98038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98027 and 98038, than apply into the LCM equation.
GCF(98027,98038) = 1
LCM(98027,98038) = ( 98027 × 98038) / 1
LCM(98027,98038) = 9610371026 / 1
LCM(98027,98038) = 9610371026
Least Common Multiple (LCM) of 98027 and 98038 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98027 and 98038. First we will calculate the prime factors of 98027 and 98038.
Prime Factorization of 98027
Prime factors of 98027 are 61, 1607. Prime factorization of 98027 in exponential form is:
98027 = 611 × 16071
Prime Factorization of 98038
Prime factors of 98038 are 2, 49019. Prime factorization of 98038 in exponential form is:
98038 = 21 × 490191
Now multiplying the highest exponent prime factors to calculate the LCM of 98027 and 98038.
LCM(98027,98038) = 611 × 16071 × 21 × 490191
LCM(98027,98038) = 9610371026
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