What is the Least Common Multiple of 97420 and 97440?
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 97420 and 97440 is 474630240.
LCM(97420,97440) = 474630240
Least Common Multiple of 97420 and 97440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97420 and 97440, than apply into the LCM equation.
GCF(97420,97440) = 20
LCM(97420,97440) = ( 97420 × 97440) / 20
LCM(97420,97440) = 9492604800 / 20
LCM(97420,97440) = 474630240
Least Common Multiple (LCM) of 97420 and 97440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97420 and 97440. First we will calculate the prime factors of 97420 and 97440.
Prime Factorization of 97420
Prime factors of 97420 are 2, 5, 4871. Prime factorization of 97420 in exponential form is:
97420 = 22 × 51 × 48711
Prime Factorization of 97440
Prime factors of 97440 are 2, 3, 5, 7, 29. Prime factorization of 97440 in exponential form is:
97440 = 25 × 31 × 51 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 97420 and 97440.
LCM(97420,97440) = 25 × 51 × 48711 × 31 × 71 × 291
LCM(97420,97440) = 474630240
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