What is the Least Common Multiple of 97246 and 97251?
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 97246 and 97251 is 9457270746.
LCM(97246,97251) = 9457270746
Least Common Multiple of 97246 and 97251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97246 and 97251, than apply into the LCM equation.
GCF(97246,97251) = 1
LCM(97246,97251) = ( 97246 × 97251) / 1
LCM(97246,97251) = 9457270746 / 1
LCM(97246,97251) = 9457270746
Least Common Multiple (LCM) of 97246 and 97251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97246 and 97251. First we will calculate the prime factors of 97246 and 97251.
Prime Factorization of 97246
Prime factors of 97246 are 2, 48623. Prime factorization of 97246 in exponential form is:
97246 = 21 × 486231
Prime Factorization of 97251
Prime factors of 97251 are 3, 7, 11, 421. Prime factorization of 97251 in exponential form is:
97251 = 31 × 71 × 111 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 97246 and 97251.
LCM(97246,97251) = 21 × 486231 × 31 × 71 × 111 × 4211
LCM(97246,97251) = 9457270746
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