What is the Least Common Multiple of 7747 and 7763?
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 7747 and 7763 is 60139961.
LCM(7747,7763) = 60139961
Least Common Multiple of 7747 and 7763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7747 and 7763, than apply into the LCM equation.
GCF(7747,7763) = 1
LCM(7747,7763) = ( 7747 × 7763) / 1
LCM(7747,7763) = 60139961 / 1
LCM(7747,7763) = 60139961
Least Common Multiple (LCM) of 7747 and 7763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7747 and 7763. First we will calculate the prime factors of 7747 and 7763.
Prime Factorization of 7747
Prime factors of 7747 are 61, 127. Prime factorization of 7747 in exponential form is:
7747 = 611 × 1271
Prime Factorization of 7763
Prime factors of 7763 are 7, 1109. Prime factorization of 7763 in exponential form is:
7763 = 71 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 7747 and 7763.
LCM(7747,7763) = 611 × 1271 × 71 × 11091
LCM(7747,7763) = 60139961
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