What is the Least Common Multiple of 97090 and 97097?
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 97090 and 97097 is 1346735390.
LCM(97090,97097) = 1346735390
Least Common Multiple of 97090 and 97097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97090 and 97097, than apply into the LCM equation.
GCF(97090,97097) = 7
LCM(97090,97097) = ( 97090 × 97097) / 7
LCM(97090,97097) = 9427147730 / 7
LCM(97090,97097) = 1346735390
Least Common Multiple (LCM) of 97090 and 97097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97090 and 97097. First we will calculate the prime factors of 97090 and 97097.
Prime Factorization of 97090
Prime factors of 97090 are 2, 5, 7, 19, 73. Prime factorization of 97090 in exponential form is:
97090 = 21 × 51 × 71 × 191 × 731
Prime Factorization of 97097
Prime factors of 97097 are 7, 11, 13, 97. Prime factorization of 97097 in exponential form is:
97097 = 71 × 111 × 131 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 97090 and 97097.
LCM(97090,97097) = 21 × 51 × 71 × 191 × 731 × 111 × 131 × 971
LCM(97090,97097) = 1346735390
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