What is the Least Common Multiple of 97787 and 97802?
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 97787 and 97802 is 9563764174.
LCM(97787,97802) = 9563764174
Least Common Multiple of 97787 and 97802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97787 and 97802, than apply into the LCM equation.
GCF(97787,97802) = 1
LCM(97787,97802) = ( 97787 × 97802) / 1
LCM(97787,97802) = 9563764174 / 1
LCM(97787,97802) = 9563764174
Least Common Multiple (LCM) of 97787 and 97802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97787 and 97802. First we will calculate the prime factors of 97787 and 97802.
Prime Factorization of 97787
Prime factors of 97787 are 97787. Prime factorization of 97787 in exponential form is:
97787 = 977871
Prime Factorization of 97802
Prime factors of 97802 are 2, 79, 619. Prime factorization of 97802 in exponential form is:
97802 = 21 × 791 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 97787 and 97802.
LCM(97787,97802) = 977871 × 21 × 791 × 6191
LCM(97787,97802) = 9563764174
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