What is the Least Common Multiple of 97757 and 97776?
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 97757 and 97776 is 9558288432.
LCM(97757,97776) = 9558288432
Least Common Multiple of 97757 and 97776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97757 and 97776, than apply into the LCM equation.
GCF(97757,97776) = 1
LCM(97757,97776) = ( 97757 × 97776) / 1
LCM(97757,97776) = 9558288432 / 1
LCM(97757,97776) = 9558288432
Least Common Multiple (LCM) of 97757 and 97776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97757 and 97776. First we will calculate the prime factors of 97757 and 97776.
Prime Factorization of 97757
Prime factors of 97757 are 11, 8887. Prime factorization of 97757 in exponential form is:
97757 = 111 × 88871
Prime Factorization of 97776
Prime factors of 97776 are 2, 3, 7, 97. Prime factorization of 97776 in exponential form is:
97776 = 24 × 32 × 71 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 97757 and 97776.
LCM(97757,97776) = 111 × 88871 × 24 × 32 × 71 × 971
LCM(97757,97776) = 9558288432
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