What is the Least Common Multiple of 63679 and 63698?

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 of 63679 and 63698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63679 and 63698, than apply into the LCM equation.

GCF(63679,63698) = 1
LCM(63679,63698) = ( 63679 × 63698) / 1
LCM(63679,63698) = 4056224942 / 1
LCM(63679,63698) = 4056224942

Least Common Multiple (LCM) of 63679 and 63698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63679 and 63698. First we will calculate the prime factors of 63679 and 63698.

Prime Factorization of 63679

Prime Factorization of 63698

Now multiplying the highest exponent prime factors to calculate the LCM of 63679 and 63698.

LCM(63679,63698) = 7¹ × 11¹ × 827¹ × 2¹ × 31849¹
LCM(63679,63698) = 4056224942