What is the Least Common Multiple of 98027 and 98043?
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 98043 is 9610861161.
LCM(98027,98043) = 9610861161
Least Common Multiple of 98027 and 98043 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 98043, than apply into the LCM equation.
GCF(98027,98043) = 1
LCM(98027,98043) = ( 98027 × 98043) / 1
LCM(98027,98043) = 9610861161 / 1
LCM(98027,98043) = 9610861161
Least Common Multiple (LCM) of 98027 and 98043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98027 and 98043. First we will calculate the prime factors of 98027 and 98043.
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 98043
Prime factors of 98043 are 3, 11, 2971. Prime factorization of 98043 in exponential form is:
98043 = 31 × 111 × 29711
Now multiplying the highest exponent prime factors to calculate the LCM of 98027 and 98043.
LCM(98027,98043) = 611 × 16071 × 31 × 111 × 29711
LCM(98027,98043) = 9610861161
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