What is the Least Common Multiple of 97130 and 97139?
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 97130 and 97139 is 9435111070.
LCM(97130,97139) = 9435111070
Least Common Multiple of 97130 and 97139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97130 and 97139, than apply into the LCM equation.
GCF(97130,97139) = 1
LCM(97130,97139) = ( 97130 × 97139) / 1
LCM(97130,97139) = 9435111070 / 1
LCM(97130,97139) = 9435111070
Least Common Multiple (LCM) of 97130 and 97139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97130 and 97139. First we will calculate the prime factors of 97130 and 97139.
Prime Factorization of 97130
Prime factors of 97130 are 2, 5, 11, 883. Prime factorization of 97130 in exponential form is:
97130 = 21 × 51 × 111 × 8831
Prime Factorization of 97139
Prime factors of 97139 are 7, 13877. Prime factorization of 97139 in exponential form is:
97139 = 71 × 138771
Now multiplying the highest exponent prime factors to calculate the LCM of 97130 and 97139.
LCM(97130,97139) = 21 × 51 × 111 × 8831 × 71 × 138771
LCM(97130,97139) = 9435111070
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