What is the Least Common Multiple of 97690 and 97694?
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 97690 and 97694 is 4771863430.
LCM(97690,97694) = 4771863430
Least Common Multiple of 97690 and 97694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97690 and 97694, than apply into the LCM equation.
GCF(97690,97694) = 2
LCM(97690,97694) = ( 97690 × 97694) / 2
LCM(97690,97694) = 9543726860 / 2
LCM(97690,97694) = 4771863430
Least Common Multiple (LCM) of 97690 and 97694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97690 and 97694. First we will calculate the prime factors of 97690 and 97694.
Prime Factorization of 97690
Prime factors of 97690 are 2, 5, 9769. Prime factorization of 97690 in exponential form is:
97690 = 21 × 51 × 97691
Prime Factorization of 97694
Prime factors of 97694 are 2, 48847. Prime factorization of 97694 in exponential form is:
97694 = 21 × 488471
Now multiplying the highest exponent prime factors to calculate the LCM of 97690 and 97694.
LCM(97690,97694) = 21 × 51 × 97691 × 488471
LCM(97690,97694) = 4771863430
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