What is the Least Common Multiple of 97086 and 97100?
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 97086 and 97100 is 4713525300.
LCM(97086,97100) = 4713525300
Least Common Multiple of 97086 and 97100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97086 and 97100, than apply into the LCM equation.
GCF(97086,97100) = 2
LCM(97086,97100) = ( 97086 × 97100) / 2
LCM(97086,97100) = 9427050600 / 2
LCM(97086,97100) = 4713525300
Least Common Multiple (LCM) of 97086 and 97100 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97086 and 97100. First we will calculate the prime factors of 97086 and 97100.
Prime Factorization of 97086
Prime factors of 97086 are 2, 3, 11, 1471. Prime factorization of 97086 in exponential form is:
97086 = 21 × 31 × 111 × 14711
Prime Factorization of 97100
Prime factors of 97100 are 2, 5, 971. Prime factorization of 97100 in exponential form is:
97100 = 22 × 52 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 97086 and 97100.
LCM(97086,97100) = 22 × 31 × 111 × 14711 × 52 × 9711
LCM(97086,97100) = 4713525300
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