What is the Least Common Multiple of 97661 and 97668?
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 97661 and 97668 is 9538354548.
LCM(97661,97668) = 9538354548
Least Common Multiple of 97661 and 97668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97661 and 97668, than apply into the LCM equation.
GCF(97661,97668) = 1
LCM(97661,97668) = ( 97661 × 97668) / 1
LCM(97661,97668) = 9538354548 / 1
LCM(97661,97668) = 9538354548
Least Common Multiple (LCM) of 97661 and 97668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97661 and 97668. First we will calculate the prime factors of 97661 and 97668.
Prime Factorization of 97661
Prime factors of 97661 are 61, 1601. Prime factorization of 97661 in exponential form is:
97661 = 611 × 16011
Prime Factorization of 97668
Prime factors of 97668 are 2, 3, 2713. Prime factorization of 97668 in exponential form is:
97668 = 22 × 32 × 27131
Now multiplying the highest exponent prime factors to calculate the LCM of 97661 and 97668.
LCM(97661,97668) = 611 × 16011 × 22 × 32 × 27131
LCM(97661,97668) = 9538354548
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