What is the Least Common Multiple of 97038 and 97042?
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 97038 and 97042 is 4708380798.
LCM(97038,97042) = 4708380798
Least Common Multiple of 97038 and 97042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97038 and 97042, than apply into the LCM equation.
GCF(97038,97042) = 2
LCM(97038,97042) = ( 97038 × 97042) / 2
LCM(97038,97042) = 9416761596 / 2
LCM(97038,97042) = 4708380798
Least Common Multiple (LCM) of 97038 and 97042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97038 and 97042. First we will calculate the prime factors of 97038 and 97042.
Prime Factorization of 97038
Prime factors of 97038 are 2, 3, 599. Prime factorization of 97038 in exponential form is:
97038 = 21 × 34 × 5991
Prime Factorization of 97042
Prime factors of 97042 are 2, 11, 401. Prime factorization of 97042 in exponential form is:
97042 = 21 × 112 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 97038 and 97042.
LCM(97038,97042) = 21 × 34 × 5991 × 112 × 4011
LCM(97038,97042) = 4708380798
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